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Finding the Fourth Proportional to 590.70, 890.48 and 551.06

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Solution

The fourth proportional to 590.70, 890.48 and 551.06 is: 830.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.70 : 890.48 = 551.06 : x
  2. Step 2: Convert to fraction form
    590.70/890.48 = 551.06/x
  3. Step 3: Cross multiply
    590.70x = 890.48 × 551.06
  4. Step 4: Simplify right side
    590.70x = 490,700.70
  5. Step 5: Solve for x
    x = 490,700.70/590.70
  6. Step 6: Final answer
    x = 830.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.